Discrete generalized Gronwall inequalities in three independent variables.
B. G. Pachpatte and S. M. Singare
Source: Pacific J. Math. Volume 82, Number 1
(1979), 197-210.
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Permanent link to this document: http://projecteuclid.org/euclid.pjm/1102785072
Zentralblatt MATH identifier: 0413.26009
Mathematical Reviews number (MathSciNet): MR549844
References
[x-ly-1z] , u(x, !/f2) + Q(k, I, n)u(k, I, n) which in view of the definition of m(x, y, z) implies *mxy{x, y, z + 1) - 2mxy(x,y, z) (16)ar-l y-1 z~l~] ^ p(x, V, z)\ m{x, i/,2) + Q(k, I, ri)m(k, I, n). If we put 35 -- 1 V -- lZ -- l (17)v(x, y, z) = m(x, 1/,^) + ^(^, I,n)m{k, I,n) , so that v(0, y, z) = (0) + b(y) + c() , v(x, 0, ^ - ( ) + 6(0) + c(z) ,
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Pacific Journal of Mathematics
